145202221045134 has 192 divisors, whose sum is σ = 364714384320000. Its totient is φ = 41405224392960.

The previous prime is 145202221045121. The next prime is 145202221045177. The reversal of 145202221045134 is 431540122202541.

145202221045134 is a `hidden beast` number, since 1 + 4 + 520 + 2 + 22 + 104 + 5 + 1 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8462152447 + ... + 8462169605.

It is an arithmetic number, because the mean of its divisors is an integer number (1899554085000).

Almost surely, 2^{145202221045134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145202221045134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182357192160000).

145202221045134 is an abundant number, since it is smaller than the sum of its proper divisors (219512163274866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145202221045134 is a wasteful number, since it uses less digits than its factorization.

145202221045134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25928 (or 25891 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 145202221045134 its reverse (431540122202541), we get a palindrome (576742343247675).

The spelling of 145202221045134 in words is "one hundred forty-five trillion, two hundred two billion, two hundred twenty-one million, forty-five thousand, one hundred thirty-four".